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Writing Equations
Solving Equations
Equations with Variables on Both Sides
Clearing Decimals and Fractions
Rewriting Equations
100
Write an equation for when a number is doubled and increased by 8 it results in 26.
2n + 8 = 26
100
7 - r = 18
r = -11
100
Solve. 6r - 8 = 8 + 6r
no solution
100
What would you do to clear the fractions in the following equation: 5/6 y + 8 = 2/3 (y +3)
multiply both sides by 6
100
Solve the equation for P. A = 1/2 Pa
P = 2A/a
200
Without solving, determine whether the solution of 1/3 x = 21 is greater than or less than 21. Explain.
x must be greater than 31 if 1/3 of it is equal to 21. So whatever x is, you have to divide it by 3 in order to get 21; thus x has to be greater than 21.
200
Solve. 28 + 2k - 10k = 100
k = -9
200
Solve. 5m - 1 = 3m + 7
m = 4
200
Write the new equation after you clear the decimals from the following equation: 2.7 = 5.4m - 0.81m
270 = 540m - 81m
200
Solve the equation for y. 24 = 4x + 6y
y = 4 - 2/3 x
300
A 25-foot long rope is cut into 3 pieces. The first piece is 2x feet long; the second piece is 5x feet long; and the third piece is 4 feet long. Write an equation that you could use to find the lengths of the three pieces of rope.
25 = 2x + 5x + 4
300
4(3 - 6a) = 36
a = -1
300
Solve. 5(p + 6) = 8p
p = 10
300
Write the new equation after you clear the fractions from the following equation: 2/9 n + 1/2 = 2/3 (n + 3)
4n + 9 = 12(n + 3)
300
Solve for B. T = hP + 2B
B = (T - hP)/2
400
One-third of a number x is equal to 22 less than the number. Write an equation to represent the statement.
1/3 x = x - 22
400
If the angles of a triangle are the following: 60°, 3x°, and (x + 20)°, then find the value of x AND find each angle measurement.
x = 25; 60°, 75°, 45°
400
Solve. -3(x + 5) = -(3x +15)
infinite many solutions
400
Solve the following equation, but first, clear the fractions. 1/4 (n - 6) = 1/4 n - 3/2
infinite many solutions
400
Solve for w. V = Lwh Then, use the new formula to find the value of w when V= 210 cubic feet, L= 10 feet, and h= 3 feet.
w = V/LH w= 7 feet
500
You purchase 5 movies and a CD. The cost of the CD is $8.50. Your total bill is $38.45. Write an equation to find the cost of one movie.
5m + 8.50 = 38.45
500
Olivia received $40 gift card that could be used to download television programs. After she downloaded 7 programs, she had $26 remaining on her gift card. If each program costs the same amount to download, what is the cost of one download?
40 - 7m = 26; m= $2
500
Your cell phone provider offers two plans. Plan A has a monthly fee of $15 and $0.25 per minute. Plan B has a monthly fee of $20 and $0.05 per minute. Write and solve an equation to find the number of minutes that you must talk to have the same cost for each of the plans.
15 + 0.25x = 20 + 0.05x x=25 min.
500
Solve the following equation, but first, clear the decimals. 4.3d + 7.5 = 5.8d
d = 5
500
Solve for y. 1/3 x + 2/3 y = 1
y = (3 - x)/2